question archive One hundred people were asked to rank their preferences of four candidates for president of their club , using 1 for their favorite and 4 for their least favorite

One hundred people were asked to rank their preferences of four candidates for president of their club , using 1 for their favorite and 4 for their least favorite

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One hundred people were asked to rank their preferences of four candidates for president of their club , using 1 for their favorite and 4 for their least favorite . The results are shown in the table below. Landidate Rankang Ranking Ranking Ranking Ranking Ranking S A W N B C 1 3 1 4 Total 30 24 13 12 10 A. Plurality With Elimination Voting Method: A - Q (ELIMINATED ) B - 30 + 6 = 36 C - 18 + 10 = 28_(ELIMINATED) D - 24 + 12 = 36 C's votes distribution: B - 36 + 10 = 46 D - 36 + 18 = 54 WINNER B. Borda Count Voting Method: A = (30x3) + (24x3) + (18x3) + (12x3) + (10x2) + (6x3) = 290 B = (30x4 ) + (24x1 ) + (18x1 ) + (12x2 ) + (10x3 ) + (6x4 ) = 240 C = (30x2 ) + (24x2 ) + (18x4 ) + (12x1 ) + (10*4 ) + (6x1 ) = 238 D = (30x1 ) + (24x4 ) + (18x2 ) + (12x4 ) + (10x1 ) + (6*2 ) = 232 WINNER

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